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Popular >

integral from 5 to 9 of (x-5)

Solution

\int_{5}^{9} (x - 5) d x

Solution

8

Solution steps

\int_{5}^{9} x - 5 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{5}^{9} x d x - \int_{5}^{9} 5 d x

\int_{5}^{9} x d x = 28

\int_{5}^{9} 5 d x = 20

= 28 - 20

Simplify

= 8

Popular Examples

integral from 0 to t of (t-w)e^{7w}

\int_{0}^{t} (t - w) e^{7 w} d w

integral from 1 to 4 of (x+3)

\int_{1}^{4} (x + 3) d x

integral from-1 to 5 of (3-|x|)

\int_{- 1}^{5} (3 - ∣ x ∣) d x

integral from 0 to 1 of sqrt(8x+1)

\int_{0}^{1} 8 x + 1 d x

integral from-2 to 1 of x-8|x|

\int_{- 2}^{1} x - 8 ∣ x ∣ d x

Frequently Asked Questions (FAQ)

What is the integral from 5 to 9 of (x-5) ?
The integral from 5 to 9 of (x-5) is 8